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Finding the Third Proportional to 3,656.25 and 7,952.25

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Solution

The third proportional to 3,656.25 and 7,952.25 is: 17,295.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.25 : 7,952.25 = 7,952.25 : x
  2. Step 2: Convert to fraction form
    3,656.25/7,952.25 = 7,952.25/x
  3. Step 3: Cross multiply
    3,656.25x = 7,952.25 × 7,952.25
  4. Step 4: Simplify right side
    3,656.25x = 63,238,280.06
  5. Step 5: Solve for x
    x = 63,238,280.06/3,656.25
  6. Step 6: Final answer
    x = 17,295.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.